A new wide-angle (WA) beam propagation method (BPM) is developed whereby the exact scalar Helmholtz propagator is replaced by any one of a sequence of higher-order
Padé approximant operators. Unlike the previous well-known WA-BPM proposed by
Hadley [Opt. Lett.
17, 1426 (1992)]
, the resulting formulations allow one a direct solution of the second-order scalar wave equation without having to make slowly varying envelope approximations so that the WA formulations are completely general. The accuracy and improvement of this approximate calculation of the propagator is demonstrated in comparison with the exact result and existing approximate approaches. The method is employed to simulate two-dimensional (2D) and three-dimensional (3D) optical waveguides and compared with the results obtained by the existing approach.
© 2009 Optical Society of America
(000.4430) General : Numerical approximation and analysis
(220.2560) Optical design and fabrication : Propagating methods
(350.5500) Other areas of optics : Propagation
Optical Design and Fabrication
Original Manuscript: November 5, 2008
Manuscript Accepted: December 7, 2008
Published: January 29, 2009
Khai Q. Le and Peter Bienstman, "Wide-angle beam propagation method without using slowly varying envelope approximation," J. Opt. Soc. Am. B 26, 353-356 (2009)